Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, a, b, i, j, k, l
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Natural, one, subtract

# build up the expression from sub-expressions
expr = ExprTuple(InSet(subtract(Add(j, one), i), Natural), Equals(Add(i, a), Add(k, b)), Equals(Add(j, a), Add(l, b)))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\left(\left(j + 1\right) - i\right) \in \mathbb{N}, \left(i + a\right) = \left(k + b\right), \left(j + a\right) = \left(l + b\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2, 3
1	Operation	operator: 4 operands: 5
2	Operation	operator: 7 operands: 6
3	Operation	operator: 7 operands: 8
4	Literal
5	ExprTuple	9, 10
6	ExprTuple	11, 12
7	Literal
8	ExprTuple	13, 14
9	Operation	operator: 26 operands: 15
10	Literal
11	Operation	operator: 26 operands: 16
12	Operation	operator: 26 operands: 17
13	Operation	operator: 26 operands: 18
14	Operation	operator: 26 operands: 19
15	ExprTuple	20, 21
16	ExprTuple	32, 23
17	ExprTuple	22, 25
18	ExprTuple	30, 23
19	ExprTuple	24, 25
20	Operation	operator: 26 operands: 27
21	Operation	operator: 28 operand: 32
22	Variable
23	Variable
24	Variable
25	Variable
26	Literal
27	ExprTuple	30, 31
28	Literal
29	ExprTuple	32
30	Variable
31	Literal
32	Variable